The Cauchy Problem for the Planar Spin-Liquid Model
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Pashaev, Oktay
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Yes
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Abstract
In this paper, we study the Cauchy problem of a two-dimensional model for a moving ferromagnetic continuum and prove global existence and uniqueness of solutions. In addition, equivalence to the coupled system of nonlinear Schrödinger equations interacting with a Chern-Simons gauge field is established.
Description
Keywords
Cauchy problem, NLS-like equations, Heisenberg model, Schrödinger equation, Cauchy problem, Propagation of singularities; initial value problems on manifolds, nonlinear Schrödinger equations, NLS equations (nonlinear Schrödinger equations), existence, ferromagnetic spin system, uniqueness, Schrödinger equation, Heisenberg model, Chern-Simons gauge field, Statistical mechanics of magnetic materials, NLS-like equations, General existence and uniqueness theorems (PDE)
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Chang, N.-H., and Pashaev, O. (2005). The Cauchy problem for the planar spin-liquid model. Nonlinearity, 18(3), 1305-1329. doi:10.1088/0951-7715/18/3/019
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OpenCitations Citation Count
4
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Volume
18
Issue
3
Start Page
1305
End Page
1329
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CrossRef : 4
Scopus : 4
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